Question #286383

Hellium takes 5 seconds to effuse from a hole of 10dm3 containers. How long would it take for oxygen to effuse from the some container at the same temperature and pressure? 



Expert's answer

According to Graham's law of Effusion/diffusion


r∝1Mr\propto\sqrt\frac{1}{M}


Where r=r= Rate of effusion

M=M= Molar mass


Rate of effusion == Volumetime\frac{Volume}{time}


Rate of HeRate of O2=MO2MHe\frac{Rate\>of\>He}{Rate\>of\>O_2}=\frac{M_{O_2}}{M_{He}}


10510T=324\frac{\frac{10}{5}}{\frac{10}{T}}=\sqrt\frac{32}{4}


T=14.14 secondsT=14.14\>seconds


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